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Multiple Artificial Neural Networks with Interaction Noise for Estimation of Spatial Categorical Variables

Department of Statistics, Central South University, Changsha 410012, China
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Academic Editor: Toly Chen
Algorithms 2016, 9(3), 56; https://doi.org/10.3390/a9030056
Received: 25 May 2016 / Revised: 4 August 2016 / Accepted: 17 August 2016 / Published: 20 August 2016
This paper presents a multiple artificial neural networks (MANN) method with interaction noise for estimating the occurrence probabilities of different classes at any site in space. The MANN consists of several independent artificial neural networks, the number of which is determined by the neighbors around the target location. In the proposed algorithm, the conditional or pre-posterior (multi-point) probabilities are viewed as output nodes, which can be estimated by weighted combinations of input nodes: two-point transition probabilities. The occurrence probability of a certain class at a certain location can be easily computed by the product of output probabilities using Bayes’ theorem. Spatial interaction or redundancy information can be measured in the form of interaction noises. Prediction results show that the method of MANN with interaction noise has a higher classification accuracy than the traditional Markov chain random fields (MCRF) model and can successfully preserve small-scale features. View Full-Text
Keywords: data interaction; neural networks; spatial categorical variables; transition probabilities data interaction; neural networks; spatial categorical variables; transition probabilities
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MDPI and ACS Style

Huang, X.; Wang, Z. Multiple Artificial Neural Networks with Interaction Noise for Estimation of Spatial Categorical Variables. Algorithms 2016, 9, 56. https://doi.org/10.3390/a9030056

AMA Style

Huang X, Wang Z. Multiple Artificial Neural Networks with Interaction Noise for Estimation of Spatial Categorical Variables. Algorithms. 2016; 9(3):56. https://doi.org/10.3390/a9030056

Chicago/Turabian Style

Huang, Xiang, and Zhizhong Wang. 2016. "Multiple Artificial Neural Networks with Interaction Noise for Estimation of Spatial Categorical Variables" Algorithms 9, no. 3: 56. https://doi.org/10.3390/a9030056

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